André Gobert competed only in indoor tennis at the 1912 Olympics, winning two gold medals, one in singles and one in doubles, the doubles won alongside Maurice Germot. In France Gobert won the singles title in 1911 and 1920, adding French covered court titles in singles in 1911-13 and 1920, and doubles in 1913 and 1920.
Gobert was World Covered Court champion in 1919, and was runner-up at the World Hard Court Championships in 1913 and 1920. Gobert won the British Covered Court Championships at Queen’s Club five times, in 1911-12 and 1920-22. He was world ranked #3 in 1919, #5 in 1920, and #10 in 1921-22. Gobert played five ties for the French Davis Cup team between 1912-22, wining 3 of 13 matches. He played Wimbledon eight times, in 1910-12, 1919-22, and 1925. He made it to the 1912 Wimbledon All-Comers final, losing to Arthur Wentworth Gore, and also won the All-England Plate in 1910, the tournament at Wimbledon for players who lost in the first and second rounds.